On the reflection of magnon bound states

TL;DR

This paper studies how two-particle magnon bound states reflect off D7 branes in the AdS_5 x S^5 string model, analyzing boundary S-matrices for supersymmetric and broken-supersymmetry cases.

Contribution

It provides the first detailed analysis of boundary S-matrices for magnon bound states in the AdS/CFT correspondence, including supersymmetry-breaking scenarios.

Findings

Derived boundary S-matrices for bound states in various supersymmetry conditions

Analyzed the reflection properties of magnon bound states at D7 branes

Extended understanding of integrable structures in AdS/CFT boundary problems

Abstract

We investigate the reflection of two-particle bound states of a free open string in the light-cone AdS_5 x S^5 string sigma model, for large angular momentum J=J_56 and ending on a D7 brane which wraps the entire AdS_5 and a maximal S^3 of S^5. We use the superspace formalism to analyse fundamental and two-particle bound states in the cases of supersymmetry-preserving and broken-supersymmetry boundaries. We find the boundary S-matrices corresponding to bound states both in the bulk and on the boundary.